{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gauss-type quadrature\n",
    "\n",
    "An important operation in numerical analysis is to calculate the integrals of functions. In general, \n",
    "$$\n",
    "\\int_{-1}^{1} u(x)\\:dx \\approx \\sum_{i=1}^N w_i u(x_i)\n",
    "$$\n",
    "In this expression, $w_i$ is a weight for node $x_i$. For different numerical integration procedures, different weights and nodes are used. \n",
    "\n",
    "\n",
    "If polynomials of order $m$ are to be integrated exactly, initially, since $m+1$ coefficients are necessary to define the polynomial, there should be $m+1$ arbitrary nodes and weights. If, on the other hand, the nodes can be fixed beforehand, it is possible to do better.\n",
    "\n",
    "## Jacobi formulae\n",
    "\n",
    "Often a weighed integral is useful:\n",
    "\n",
    "$$\n",
    "\\int_{-1}^{1} (1-x)^\\alpha(1+x)^\\beta u(x)\\:dx = \\sum_{i=1}^Q w_i^{\\alpha,\\beta} u(x^{\\alpha,\\beta}_i) + R(u)\n",
    "$$\n",
    "where R(u) is a remainder which can be zero if $u(x) \\in \\mathcal{P}_{2Q-k}([-1,1])$\n",
    "\n",
    "Depending on the number of nodes that are free to float (assume any value necessary to the procedure) different integration schemes are possible:\n",
    "\n",
    " * Gauss-Jacobi - $k=1$. Prefix `gj`.\n",
    " * Gauss-Radau - $k=2$, one of the ends is included as a node. Prefix `grjm` when -1 is included or `grjp` when 1 is included.\n",
    " * Gauss-Lobatto - $k=3$, both ends are included as nodes. Prefix `glj`.\n",
    " \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "## Computing the nodes\n",
    "\n",
    "Nodes emplyed in the quadrature can be calculated using the following functions:\n",
    " \n",
    " * `zgj(Q, a, b)` for Gauss-Jacobi with $Q$ nós, weights $\\alpha=$`a` and $\\beta=$`b`.\n",
    " * `zgj(Q, a, b)` for Gauss-Lobatto-Jacobi.\n",
    " * `zgrjm(Q, a, b)` for Gauss-Radau-Jacobi including the end -1.\n",
    " * `zgrjp(Q, a, b)` for Gauss-Radau-Jacobi including the end 1.\n",
    "  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " -0.831871 \n",
       " -0.443304 \n",
       "  0.0612254\n",
       "  0.548652 \n",
       "  0.890523 "
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Jacobi\n",
    "Q = 5\n",
    "alpha=0.3\n",
    "beta = 0.8\n",
    "zgj(Q, alpha, beta) # Gauss-Jacobi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " -1.0      \n",
       " -0.635289 \n",
       " -0.0985338\n",
       "  0.460364 \n",
       "  0.867517 "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zgrjm(Q, alpha, beta) # Gauss-Radau-Jacobi, -1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " -0.798703\n",
       " -0.343012\n",
       "  0.22246 \n",
       "  0.721235\n",
       "  1.0     "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zgrjp(Q, alpha, beta) # Gauss-Radau-Jacobi, 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " -1.0      \n",
       " -0.557811 \n",
       "  0.0652664\n",
       "  0.65738  \n",
       "  1.0      "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zglj(Q, alpha, beta) # Gauss-Lobatto-Jacobi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The default case is to calculate the zeros using  `Float64`, if some other type is necessary, just add the type as  a fourth argument. The only restriction is that this type should be a `FloatingPoint` since iteration is used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float32,1}:\n",
       " -1.0     \n",
       " -0.654654\n",
       "  0.0     \n",
       "  0.654654\n",
       "  1.0     "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zglj(5, 0, 0, Float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{BigFloat,1}:\n",
       " -9.061798459386639927976268782993929651256519107625308628737622865437707949166849e-01\n",
       " -5.384693101056830910363144207002088049672866069055599562022316270594711853677574e-01\n",
       "  0e+00                                                                               \n",
       "  5.384693101056830910363144207002088049672866069055599562022316270594711853677574e-01\n",
       "  9.061798459386639927976268782993929651256519107625308628737622865437707949166849e-01"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "zgj(5, 0, 0, BigFloat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing the weights\n",
    "\n",
    "The functions to compute the weights follow the same naming scheme, just replace the letter `z` by `w`:\n",
    "\n",
    " * `wgj(z,a,b)`\n",
    " * `wgrjm(z,a,b)`\n",
    " * `wgrjp(z,a,b)`\n",
    " * `wglj(z,a,b)`\n",
    " \n",
    " The first argument `z` is an array with the zeros calculated previsouly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       " 0.236927\n",
       " 0.478629\n",
       " 0.568889\n",
       " 0.478629\n",
       " 0.236927"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 0\n",
    "b = 0\n",
    "z = zgj(5, a, b)\n",
    "w = wgj(z, a, b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To compute an integral, "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Poly(10 + 9x + 8x^2 + 7x^3 + 6x^4 + 5x^5 + 4x^6 + 3x^7 + 2x^8 + x^9)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Polynomials\n",
    "u = Poly([10,9,8,7,6,5,4,3,2,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Poly(10.0x + 4.5x^2 + 2.6666666666666665x^3 + 1.75x^4 + 1.2x^5 + 0.8333333333333334x^6 + 0.5714285714285714x^7 + 0.375x^8 + 0.2222222222222222x^9 + 0.1x^10)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Iu = polyint(u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29.320634920634923"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I = polyval(Iu, 1.0) - polyval(Iu, -1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5-element Array{Float64,1}:\n",
       "  5.40237\n",
       "  6.727  \n",
       " 10.0    \n",
       " 19.1443 \n",
       " 42.0764 "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ui = polyval(u, z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "29.320634920634923"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Igauss = sum(w.*ui)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "err = Igauss - I"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since the quadrature had `Q=5` nodes and a Gauss-Jacobi scheme was used, the exact value of the integral was possible. As another example let's use the weights $\\alpha=1$ and $\\beta=1$. For integer weights, the integrand is stilla polynomial:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Poly(10 + 9x - 2x^2 - 2x^3 - 2x^4 - 2x^5 - 2x^6 - 2x^7 - 2x^8 - 2x^9 - 2x^10 - x^11)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p = Poly([1,-1]) * Poly([1,1]) * u"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the same weights, "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(16.487157287157288,-12.833477633477635)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ip = polyint(p)\n",
    "I2 = polyval(Ip, 1.0) - polyval(Ip, -1.0)\n",
    "Igauss2 = sum(w.*polyval(p, z))\n",
    "I2, I2-Igauss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With new weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.552713678800501e-15"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q = 5\n",
    "z2 = zgj(Q, 1, 1)\n",
    "w2 = wgj(z2, 1, 1)\n",
    "ui = polyval(u, z2)\n",
    "Igab = sum(w2.*ui)\n",
    "I2 - Igab"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Which is zero, except for some floting point error!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpolation\n",
    "\n",
    "The nodes of the quadrature can be used for polynomial interpolation using Lagrangean interpolants. If a function us evaluated at the nodes of the quadrature, \n",
    "\n",
    "$$\n",
    "u_i = u(x_i^{\\alpha,\\beta})\n",
    "$$\n",
    "\n",
    "The corresponding Lagrangean interpolant is $h_i(x)$:\n",
    "\n",
    "$$\n",
    "h_i(x) = \\prod_{k=1,k\\ne i}^Q \\frac{x - x_k^{\\alpha,\\beta}}{x_i^{\\alpha,\\beta} - x_k^{\\alpha,\\beta}}\n",
    "$$\n",
    "\n",
    "This can be computed using function `lagrange(i, x, z)` where `z` is an array of interpolation nodes\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "INFO: Loading help data...\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f8f7a54d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using PyPlot\n",
    "\n",
    "x = linspace(-1,1, 401)\n",
    "np = length(x)\n",
    "Q = 5\n",
    "z = zglj(Q)\n",
    "h = zeros(np, Q)\n",
    "for i = 1:Q\n",
    "    for k = 1:np\n",
    "        h[k,i] = lagrange(i, x[k], z)\n",
    "    end\n",
    "    plot(x, h[:,i])\n",
    "    axvline(x=z[i], color=\"black\")\n",
    "end\n",
    "axhline(y=0, color=\"black\");\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This was calculated using Gauss-Lobatto-Jacobi nodes. If equally spaced nodes were used things are not as pretty:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f8f6c7890>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = linspace(-1, 1, Q)\n",
    "h = zeros(np, Q)\n",
    "for i = 1:Q\n",
    "    for k = 1:np\n",
    "        h[k,i] = lagrange(i, x[k], z)\n",
    "    end\n",
    "    plot(x, h[:,i])\n",
    "    axvline(x=z[i], color=\"black\")\n",
    "end\n",
    "axhline(y=0, color=\"black\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It still works well but as the number of nodes increases, it will get worse."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Interpolation matrix\n",
    "\n",
    "If a function is known at a ser of nodes and has to be interpolated to another set of nodes several times, it is useful to build an interpolation matrix `Imat`\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f68da5f10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q = 9\n",
    "x = linspace(-1,1,401)\n",
    "z = zglj(Q)\n",
    "u = sin(2pi*z)\n",
    "ue = sin(2pi*x)\n",
    "imat = interp_mat(x, z)\n",
    "ui = imat * u\n",
    "plot(x, ue, \"r\", z, u, \"rs\", x, ui, \"b--\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Derivatives\n",
    "\n",
    "The Lagrange polynomials can be easilly derived but there are explicit expressions for the derivatives at the quadrature nodes. The following functions can be used to calculate a derivative matrix:\n",
    "\n",
    " * `dgj(z, a, b)`\n",
    " * `dgrjm(z, a, b)`\n",
    " * `dgrjp(z, a, b)`\n",
    " * `dglj(z, a, b)`\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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vhv4dFgAAx/Xqq7bErV4910nKpndvO03gnXdcJ/EUxfR43nhDSk+XGjZ0naTsrrnGzjQtKHCdBAAANzZutI3MP/uZ6yRlV6GCrTWlmCao3bulSZOCO40fde65dszViy+6TgIAgBtjxkjJycHbyHykwYOlBQukzz93ncQzFNNjGT9e2rs3+MW0fHnpyittwfTBg67TAAAQf6++aqONp5ziOsnJGTBAKldOGjfOdRLPUEyP5T//kTp2lJo1c53k5GVnS1u3ckUpACDxrFkjzZ0b7Gn8qFNPlXr2DPV0PsX0aA4dsmn8Cy5wnSQ2unSRGjfmsH0AQOJ57TU7oWbQINdJYmPwYLsoYPdu10k8QTE9mg8/lLZvlwYOdJ0kNiIRu7nqzTetdAMAkChefdVKadWqrpPExuDB0v790uTJrpN4gmJ6NBMm2HB59+6uk8TOZZdJW7ZIubmukwAAEB8rVti5n9nZrpPEzumnS23bhnY6n2J6NOPHS/362QLjsOjeXTrtNGnsWNdJAACIjzFj7OzPfv1cJ4mtwYNtA1QIZ0EppkfaskWaP992voVJUpKdMPDGG1JRkes0AAB47623bL9IpUquk8TWoEG25DA/33WSmKOYHmnSJPvYv7/bHF647DJp0yYpL891EgAAvLVmjbRokd2AGDZdu9qSw/ffd50k5iimRxo/3nax16njOknsZWZK9esznQ8ACL+335YqVgzfDKhkSw3PPTeUG6Aopj908KD9JYdlN/6RkpKkSy+1Ysp0PgAgzN56S+rbV6pWzXUSb5x/vjRvnrRzp+skMUUx/aG5c6UdO8JbTCWbzv/8c7vSDACAMNq6VZo9O/hXkB5P3762+WnaNNdJYopi+kMTJkipqTaVH1Y9eti6lHffdZ0EAABvvPuuneE9eLDrJN5p2lQ688zQTefHvZiOHj1aSUlJql69erwffWLvv2/vQMJ0TNSRkpNtRDik558BAKC33pLOPluqXdt1Em+dfz7F9GRs3LhRd911lxo0aKBIJBLPR59YYaEdE3Xuua6TeG/wYDtweN0610kAAIitXbtsoCmMu/GPdP750urV0qpVrpPETFyL6ZAhQ9SnTx/17dtXxcXF8Xz0ic2caRuCzjnHdRLv9etnI6dM5wMAwmbCBLuyM8zrS6N697ZZ3hAdGxW3YvrSSy9p1qxZevLJJ/1XSiVpyhSpSROpWTPXSbyXkiL16kUxBQCEzzvvSB062BrMsKtRQ8rICNV0flyK6ZYtW3THHXfor3/9qxo0aBCPR5be1Kk2je+3JQZeGTzYdvJ9/bXrJAAAxMahQ9LEidKFF7pOEj/nn28d5uBB10liIi7F9LbbblObNm00ZMiQeDyu9LZulZYsSYxp/KhBg6QDB76/6QoAgKCbO9eu6rzgAtdJ4qdvX9sn8+GHrpPEhOfFdOzYsRo3bpyeeeYZrx9VdtOn28c+fZzGiKumTaX27dmdDwAIj/fek2rVkrp1c50kfrp0kapXD815puW9fPHdu3fr9ttv169+9SvVrVtXO/97O8H+/fslSYWFhSpfvryqVq36oz87bNgwpaSkHPa57OxsZWdnxz7o1KlSq1aSX5cZeGXwYOn//s+G/8t7+qUAAID33ntP6t8/3Mc+Hql8eTsaa8YM6fe/9+QROTk5ysnJOexzhYWFnjwrUuzhTqS1a9fq9NNPP+7vufjii/Xmm29+9/8XFBSoc+fOWrBggdLS0ryKdrgzz7Q1Gk8+GZ/n+cW8eVL37nYiQVaW6zQAAJTdhg1S48ZSTo70s5+5ThNfjzwi/elPdntlcnJcHulVX/N0mKx+/fqaNm3aYWeWFhcX669//atmzJihiRMnqlatWl5GOLH166XPPrO/1ETTpYtNeUyYQDEFAATb+PE2Utqvn+sk8derl/S730kFBTbgFGCeFtOKFSuqV69eP/r8s88+q3Llyqlnz55ePr5kpk2znfhHyRl6SUn2H/DEidJDD7lOAwBA2b333vfXbieazp2lqlVtOj/gxTTuV5JKUiQS8c/NT1OnSh07SqmprpO4MWCAtHCh9MUXrpMAAFA2e/faeeSJtBv/h5KTpcxMK6YB56SYPvvss/raL+dnzphhNyckqvPPtxFjjo0CAATV9OnSt98mbjGVbOZ39mw7yzXAnBRT39iwwe6LT+T1lbVr21rTCRNcJwEAoGzee89ub2zTxnUSd3r1sktzFi1yneSkJHYxzc21jz16uM3h2oABdp1ZSG6NAAAkmEmT7JgovywTdKFrV6lSpcBP5yd2MZ09W2rRQqpTx3UStwYMsCMmQnJrBAAggaxZI336aWLuxv+hihWljIzvLw0KqMQuprNmJfY0flTXrlLNmkznAwCCZ/JkOyYqka4VP5ZevazbBHidaeIW0507pSVL7LaERFeunG2CmjjRdRIAAEpn8mQpPV064rbIhNS79/f9JqASt5jm5UnFxRTTqAEDpPnzpS+/dJ0EAICSOXjQjolK9Gn8qO7dpQoV7EbHgErcYjp7tlS3rtS8uesk/tCvnxX1yZNdJwEAoGTmzZMKC23WD7b5qXNnG3wLqMQtptH1pYm8g++H6taV2reXPvjAdRIAAEpm0iS76alLF9dJ/CMzU5ozx3WKMkvMYrpvn73LYhr/cH37Su+/byOnAAD43eTJ0nnn2V4JmMxMaf16aeNG10nKJDGL6YIFVk4ppoc77zz7Qv7kE9dJAAA4vh07bJCJ9aWHy8iwjwGdzk/MYjp7tlStmtShg+sk/pKVZYum33/fdRIAAI5vyhSpqIj1pUeqX19q2jSw0/mJWUxnzbJ3FOXLu07iL1Wr2hQAxRQA4HeTJkmtW0uNGrlO4j8BXmeaeMW0uNiGtzMzXSfxp7597daIAwdcJwEA4NimTLElaPixjAypoEDau9d1klJLvGK6apW0ffv3azBwuL59pV27bN0OAAB+tGaN/XPuua6T+FNmpg0wLVjgOkmpJV4xzc+3j926uc3hV2lpdvQGx0YBAPxq2jQpKcmu4MSPtW8vVakSyOn8xCumc+dKLVta+cKPRe8bZp0pAMCvpk61gZRTTnGdxJ/Kl7cBuADuzE+8Ypqfb1d24djOO8/+PX39teskAAAcrrjYiuk557hO4m/RDVABO5s8sYrpnj3SokUU0xPp21c6dMg2QQEA4CeffCJt3sz60hPJzJS2bLG1uAGSWMV04ULp4EEpPd11En87/XSpSRNbwwMAgJ9MnSolJ0s9erhO4m/RrhOwdaaJVUznzpUqVZLatXOdxN8iEal3b4opAMB/pk610lW1qusk/paaKrVo8f2m74BIrGKany916WLvtHB8ffpIixdLX33lOgkAAKaoyAZNWF9aMt26SR9+6DpFqSRWMZ07l/WlJdW7ty2YnjHDdRIAAMxHH9mACcW0ZLp2tb01+/e7TlJiiVNMv/hCWreO9aUl1aSJ1KwZG6AAAP4xdapUuTKDTCXVrZuV0sWLXScpscQppnPn2ke+mEuuTx/WmQIA/GPqVOnss6WKFV0nCYaOHe1M0wBN5ydOMc3Plxo0kE47zXWS4OjdW1qyRNq2zXUSAECiO3BAmjmTafzSqFTJboEK0DXjiVNMo+tLIxHXSYKjd2/7yDpTAIBr8+dLu3dTTEura9dAjZiWdx0gLg4d0uAZM6SaNe060qOpVUvv5ObGN5ffNWokNW9u0/k/+YnrNACARDZ1qlSjhl1Fih8Z3KPH0Wc4CwvtoP3u3fVOdFmjjyVGMV25Uioq0jvbth1zWnpwnCMFRp8+bIACALg3darUq5etmcSPbdumd1auPOYvD960KY5hyi4xpvIXLHCdILh695aWLZO2bnWdBACQqPbulXJzmcY/GXv3uk5QIolRTOfP51D9smKdKQDAtbw8ad8+iunJoJj6yIIFtjMNpdewoXTmmRwbBQBwZ/p02yfStq3rJMFFMfWJQ4ekggLOPDsZnGcKAHBp5kypZ08pKfy1xTMHD0pffuk6xQmF/2/4k0+kb79lxPRk9Okjffyx3Z4FAEA87dtnZ5H37Ok6SfAF4Nio8BfT+fPtI8W07Hr1so/szgcAxNv8+TYNTTE9OUlJgSim4T9zYcECWyNZu7YGH28KoFat+GUKmvr1pVatrJj+7Geu0wAAEsnMmVL16lKHDq6T+FutWsc/+nLr1kCcUhT+Yjp/vtSli9555RXXSYKtd287Qw4AgHiaOVPq0YPzS0/ghJcE/f730gsvxCfMSQj3VP7Bg9LChVLnzq6TBF+fPnZRwebNrpMAABLFwYN2fml0SRnKLi1N2rjRboHysXAX048/lvbskbp0cZ0k+LKy7OOsWW5zAAASx6JF0q5drC+NhehVrgsXus1xAuEuptGNT506uc0RBvXrS82bU0wBAPEzc6ZtXmaA6eQ1ayalpFBMnVqwQGrZUqpRw3WScMjKopgCAOJn5kwpI0OqUMF1kuCLRGygrqDAdZLj8ryYLlq0SBdccIGaNGmiKlWqKDU1VZmZmXr55Ze9frSNmLK+NHaysqTFi6WdO10nAQCEXVGRDYYwjR87aWkU08LCQjVu3FgPP/ywJkyYoBdeeEFNmzbVNddco7/85S/ePfjgQemjjxj+j6WsLKm4WJozx3USAEDYLV8uffUVxTSW0tKk1aulHTtcJzkmz89e6NWrl3odsZvuggsu0Jo1azRq1Cjde++93jz4k09s4xPrS2PnjDOkunXtHezAga7TAADCbOZMOyIqPd11kvCIboBatMhO2/EhZ2tMU1NTVd7LM8kWLbKPHTt694xEE4mwzhQAEB8zZ0pdu0pVqrhOEh4tWti/Tx9vgIpbMS0uLtbBgwf15Zdf6v/+7/80adIk3XXXXd49cOFCqWlT6ZRTvHtGIsrKsivN9u51nQQAEFbFxVZMmcaPrXLl7AYtH68zjVsxHTp0qCpUqKC6devq17/+tR599FENHTrUuwcuWsQ0vheysqT9+6V581wnAQCE1apVdqELB+vHns83QMWtmN57772aP3++xo8fr5tvvll33nmnHnnkEW8eVlxsxZRp/Nhr396O32I6HwDglRkzpKQkKTPTdZLwSUuzC4i++cZ1kqOK28WzjRo1UqNGjSRJ/fv3lyTdd999uuGGG1S7du0f/f5hw4YpJSXlsM9lZ2crOzv7xA/buFHavp1i6oVy5ewbxcyZklcb1wAAiW3mTPsZfkQPQAykpdkA3kcflbj45+TkKCcn57DPFRYWepEufsX0SF27dtXIkSO1Zs2aoxbT4cOHKy26e6y0oot6KabeyMqSHn7YjuTycgMbACAxzZwpXXyx6xTh1KaNlJxs0/klLKZHGxgsKChQZw/Oine2K3/atGkqV66cmjdvHvsXX7RIqllT+u8ILWKsZ09p9257twUAQCx9/rm0dq0NgiD2KlSQ2rXz7TpTz4e7brnlFqWkpKhr166qW7eutm3bpjFjxuj111/XPffco9TU1Ng/NLq+NBKJ/WvDju+oWNHWmXKzFgAglnJz7WOPHm5zhJmPryb1fMQ0MzNT8+bN0+23366+ffvq5ptv1tatW/XSSy/pr3/9qzcPZeOTtypWlLp1YwMUACD2cnOl5s3tQhd4o317adkyW5LnM56PmF533XW67rrrvH7M9woL7botiqm3srKkZ56xBdSMTAMAYiU3l9FSr3XoYEc/fvKJdNZZrtMcxtkaU89E1z1yhqm3srKkL7+UVq50nQQAEBbR/QsUU2+1b28ffbhXJHzFdNEim2pu2dJ1knDLzLQz5pjOBwDEyty50qFDFFOvnXqq1LgxxTQuFi2S2ra1oxDgnRo1bCqAYgoAiJXcXLtKvHVr10nCr0MHimlcLFzI+tJ4Ofvs73dPAgBwsnJzv5+Rg7fat5cWL3ad4kfC9Te/f7/tMqOYxkdmpt1nvGWL6yQAgKA7dEjKy2MaP146dJA2b7b9Ij4SrmL68cfSgQMU03iJfvPIy3ObAwAQfEuXSrt2UUzjpUMH++iz6fxwFdPokHS7dm5zJIpGjaTTTmM6HwBw8nJcNh0hAAAgAElEQVRz7Zrrrl1dJ0kMzZtLVapQTD21ZIntMktJcZ0kcWRmSnPmuE4BAAi63FwpLc3KErxXrpwN5FFMPbR48fdncyE+evSQ5s+X9u1znQQAEGQcrB9/PtyZH65iumQJ0/jxlplpm84WLHCdBAAQVBs3SuvWUUzjrX17acUK+znuE+Epptu32xc2I6bx1aGDTbswnQ8AKKvoXgWKaXx16GCbxj/+2HWS74SnmC5ZYh8ZMY2v5GSpWzeKKQCg7HJzpdNPl+rVc50ksfjwatJwFdMKFaQWLVwnSTzRDVDFxa6TAACCiPWlbtSoITVrRjH1xOLFdoUZV5HGX2amHbK/erXrJACAoNm9264Tp5i64bMNUOEppkuWsL7UlYwM+8h0PgCgtObNs1ufKKZutG///XJIHwhHMS0qshsjWF/qRs2aNlpNMQUAlFZurnTKKVKbNq6TJKa2bW3W0ydXk4ajmK5ZI33zDSOmLmVmcgMUAKD0cnNt5i0pHJUkcNq2tY/LlrnN8V/h+CrgKlL3evSwUevCQtdJAABBceiQlJfHNL5LZ5xhm8d9Mp0fjmK6ZImUmirVr+86SeLKzLRd+XPnuk4CAAiKZcukr7+mmLqUnGzL8ZYudZ1EUliK6eLFNloaibhOkrhatLA3B0znAwBKKjdXKl/ezsOGO23bUkxjih357kUi359nCgBASeTmSp062Q2CcCdaTH1wHnnwi+m330qffsr6Uj/IzJTy823NEAAAJ8LB+v7Qrp0tqdiwwXWSEBTT5cut4VNM3cvMtIOSfbKAGgDgY5s2SWvXUkz9ILoz3wfT+cEvptF/iWed5TYHpK5dba0Q0/kAgBOJ/qzIzHSbA1LjxlL16r4YWAp+MV22TGraVKpWzXUSVK4spaVRTAEAJ5aXJzVpIjVo4DoJIhHfbIAKRzFltNQ/2AAFACiJ/HwpPd11CkRRTGNk2bLv10bAvR497CauzZtdJwEA+NX+/dKCBXbjE/yhbVtpxQrp4EGnMYJdTL/+Wlq/nhFTP4muFWLUFABwLAsXSvv2UUz9pG1b+zv57DOnMYJdTJcvt48UU/9o0MDWDFFMAQDHkpcnVawodezoOgmioqcbOZ7OD3YxXbbMFuy2auU6CX6oRw9ugAIAHFt+vtS5s93RDn+oXVuqU4dielKWLZOaN+fGCL/JyJAKCqS9e10nAQD4UV4e0/h+1Lat8yOjgl9Mmcb3n4wM6cABW0MEAMAPbdpk+0Mopv7Trh3F9KRQTP2pfXs70zQvz3USAIDfRH82UEz956yzpFWrbBOUI8Etpjt3Shs3Ukz9KDlZ6tLF1hABAPBD+flSo0YcrO9HrVtLRUXSypXOIgS3mC5bZh85w9Sf0tMppgCAH2N9qX+1bm0fo6ceORDsYlqunNSypeskOJr0dGnDBhvVBgBAsoP158+nmPpVaqpUty7FtEyWLZPOOMPOQYP/RK+ZY9QUABC1aBEH6/td69Z2A5QjwS6mrC/1rwYNpMaN2QAFAPhefr6dXcrB+v7Vpg0jpmWybBnrS/2OdaYAgB/Ky7OD9Znt9K82bWzz04EDTh4fzGK6fbv0xReMmPpdRoa0YIGtKQIAgI1P/temjZXSVaucPN7zYjplyhT9/Oc/V4sWLVS1alWddtppuvjii1VQUFD2F43uyKeY+lt6ut3+9NFHrpMAAFzbvFlat45i6nfRnfmO1pl6XkyffvpprV+/XsOGDdOECRP0xBNPaOvWrUpPT9e0adPK9qLLl0vly0tnnhnbsIitTp1sLRHT+QCA6M+C6OZY+FPdutKppzpbZ1re6weMGDFCderUOexz/fv31xlnnKGHHnpIffr0Kf2LrlhhO/IrVIhRSniiYkUpLc2mbn75S9dpAAAu5eVJp51m/8C/IhGnG6A8HzE9spRKUtWqVdW6dWt9/vnnZXvRFSu+H2qGv7EBCgAgsb40SMJcTI+msLBQBQUFOqusa0RXrJBatYptKHgjI0Nas0bassV1EgCAKwcO2MH6TOMHQ+vW0scfS4cOxf3RTorpbbfdpj179ujee+8t/R/etUv6/HNGTIOCg/YBAB99ZJthGTENhjZt7O9r3bq4PzruxfS+++7TK6+8ouHDh6tTp06lf4FPPrGPFNNgaNTIDtunmAJA4srLs30haWmuk6Ak2rSxjw6m8+NaTB944AH95S9/0UMPPaRbb721bC8SPb6AqfxgiERYZwoAiS4vz0opB+sHw2mnSdWqOSmmnu/Kj3rggQe+++d3v/vdCX//sGHDlJKSctjnsrOzlb1ihY3CVavmVVTEWnq6dP/90sGDdswXACCx5OdLF13kOgVKKhKxmen/FtOcnBzl5OQc9lsKCws9eXRcWsKf/vQnPfDAA7rvvvt03333lejPDB8+XGlHG/J//XWm8YMmI0P69ltp6VLuRwaARLNli22CZX1psLRp890sdXZ2trKzsw/75YKCAnXu3Dnmj/W8mD722GP64x//qP79+2vgwIHKP2JKN720O/RWrJD69YthQniuc2cbKc3Lo5gCQKLJy7OPFNNgadNGeuMNqbjYRlDjxPNiOm7cOEUiEU2cOFETJ0487NcikYgOHeMogjsuuUSnVKpk/0+tWnonN9fuXP/sM+mOO7yOjViqXNkKaX6+NHSo6zQAgHjKz5caNrRleAiONm2k3bvtJKT//t0N7tFD2rZNkrRz715PHut5MS3rtaOPr1+v6ET+4OgnV62yM7WYyg+e9HRp8mTXKQAA8ZaXx/mlQRTtWsuXf/+mYts2vbNypSSpQFLsJ/IdnWNaZtEd+RTT4ElPl1aulLZvd50EABAvBw5IH37INH4QNW0qVar0ffeKk+AV05o1pdq1XSdBaUW/Kc2d6zYHACB+Fi+W9uyhmAZRuXJ2NGecj4wKXjFt3Tqui3ARI82a2RsKzjMFgMSRny8lJ3OwflD94MioeAlmMUXwRA/aj+7OBACEX16e1KmTTQkjeNq0sWJaXBy3RwanmBYVSR9/zI1PQZaRYVP5xziJAQAQMnl5TOMHWZs20o4d0tatcXtkcIrphg12SDsjpsGVni7t2hX3hdQAAAe2bpVWr2ZHfpC1aWMf4zid79v7Ie9o3Piwc0zZkR8CXbtKSUm25qhtW9dpAABeim52ZcQ0uJo3twtyli+X+vSRatX67gjPnXv3SuvXx/yRvi2mj7/11uFXkj7+uB3U3qSJu1A4OdWqSe3aWTG96SbXaQAAXsrLk+rVkxo3dp0EZZWcLLVo8d3g4Du5ud/9kldXkgZnKn/FCqllSxtxQ3CxAQoAEkN+vo2WcpJOsLVsKX3ySdweF5yWx478cMjIsCmBnTtdJwEAeOXQIWnePNaXhkGrVrb5PE4opoiv6DepefPc5gAAeGfZMumbbyimYdCypfT55/b3GQfBKKbbttk/HBUVfC1aSKeeykH7ABBm+fl2c5AHaxARZy1b2seVK+PyuGAUU3bkh0f0oH2KKQCEV16e1KGDVLWq6yQ4WdFiGqfp/OAU06Qk6cwzXSdBLESLaVGR6yQAAC/k5zONHxannirVqRO3DVDBKKYff2xnaVWs6DoJYiEjw26S+PRT10kAALG2Y4f93KaYhkccd+YHo5iy8SlcunWzKX2m8wEgfKKbWymm4UExPQLFNFxSUuzvk/NMASB88vKk1FTpjDNcJ0GstGplxTQOS/D8X0y//VZat44d+WGTkcGIKQCEUXR9KQfrh0fLltbHNm70/FH+L6bRdYjRXWEIh/R0ackSadcu10kAALFSVCTNncs0fthEO1gcpvP9X0yj52ZRTMMlI8O+gX34oeskAIBYWbnSbvajmIZLs2ZScjLFVJL9S0hNlWrWdJ0EsdS6tVSjBtP5ABAmeXk2hd+tm+skiKXy5W3NcBzOMg1GMWW0NHySkqTu3SmmABAm+fnSWWfZwAPCJU478/1fTFeupJiGVfSg/eJi10kAALHAwfrhFd2Z7zF/F9PiYvuX0KKF6yTwQnq69OWX0urVrpMAAE7Wrl3S0qUU07Bq2VJav1765htPH+PvYrp1q1RYyIhpWHXvbh+ZzgeA4PvwQ9vUSjENp2gX8/jWRn8X0+iOfEZMwyk11f5uOWgfAIIvP9/WlnIhTjjF6cgofxfTTz6xTTLcHhFeHLQPAOGQn28zYUn+rhYoo5o1pdq1E7yYrlwpNW0qVazoOgm8kp4uffSR3SgBAAim4mI2PiWCli09PzLK38WUjU/hl5EhHTwoLVjgOgkAoKzWrLHNrBTTcIvDznz/F1M2PoXbWWdJVauyzhQAgiz6PTy6qRXh1LKlzWZ7eMyjf4vpwYPSqlWMmIZd+fJ2QwjrTAEguPLz7ed1aqrrJPBSy5bS7t3Spk2ePcK/xXTTJiunjJiGX3q6vdvmoH0ACCbWlyaGVq3so4frTP1bTNets48U0/DLyJC++MIO7gUABMuePdKiRRTTRNCsmZSc7Ok6U38X0ypVpAYNXCeB16JrklhnCgDBs2CBzXBSTMOvfHmpefMELqYtWnAeWiKoU8e+0FlnCgDBk59vA0nt2rlOgnho1SqBp/KZxk8c0XWmAIBgyc+Xuna10TSEX8uWCT5iisSQkSEtXCjt3es6CQCgNNj4lFhatrQ9IR79vPZvMd22jRHTRJKeLh04IBUUuE4CACipDRukjRsppomkZUs7RcejDcv+LaYSI6aJpH17qXJl1pkCQJBEv2dTTBNHdNAwIYspI6aJIzlZ6tKFdaYAECT5+VLTplK9eq6TIF5SU6WaNb8/1jPG/FtMU1OlGjVcp0A8paczYgoAQcL60sTUokVwR0x3796te+65R+eff75q166tpKQkPfDAAyf+g40bex0NfpORIX3+uf0DAPC3/fvtDFOKaeJp0SK4I6bbtm3TM888owMHDuiSSy6RJEUikRP/waZNvQ0G/4l+c2PUFAD8b9Eiad8+imki8nDE1PNDx5o2baodO3ZIkrZv367Ro0eX7A82aeJhKvhS/fr2956fL112mes0AIDjyc+XKlaUOnVynQTx1qKFVFjoyUvHdY1pcXFxyX8zxTQxcdA+AARDfr6UliZVqOA6CeLNw1OT/Lv5iWKamDIybM3S/v2ukwAAjoeNT4nrjDM8e2n/FtOGDV0ngAvp6bZmadEi10kAAMeyZYu0Zg3FNFFVrSrVqePJS/v3Ylvu3E1MnTrZmqX8fKlbN9dpgLIpKpKWL7c3WKtWSTt32k0pNWpIzZrZhRIdO0rlyrlOCpRNdJNqRobbHHCncWNp69aYv6xv29+wYcOUkpJy2Oeys7OVnZ3tKBHiokIFW7OUlyf96leu0wAlV1xsX7fPPy+99Zb05Zf2+bp17VzmSETasUPatMk+n5IiDRokXXutdN559utAUOTnSw0aSKed5joJ4iAnJ0c5OTmHfa5wyxZPnuXbYjp8+HClpaW5jgEXMjKkN990nQIoucmTpT/+0X5YN2ki3XCDdP75UteuUvXqh//eb7+VFi6UPvhAevVV6aWXpLZtpT/8wU6joKAiCKLrS/l6TQhHGxgsKChQ586dY/4s/64xReJKT5fWrpW++MJ1EuD41q6VBg6U+vWzH9DvviutXi399a/SOef8uJRKUpUqUo8eVmSXL5emT7c19VdcIZ19trR0abz/VwClc/CgNG8e60vhibgU0wkTJmjs2LF69913JUnLli3T2LFjNXbsWO3ZsyceERAk0TVLHLQPvyoulv71LxvpXLpUeuMNKTdXuvBCKakU31YjEalXL2niRBtB3bHDlrI88oitUwX8aOlSG/mnmMIDcZnKv/XWW7Xuv1dXRSIRjRkzRmPGjFEkEtGaNWvUmOtH8UOnnWYjSHl50sUXu04DHG7PHukXv5BefFG68Ubp73+3TU0n69xzpYIC6f77pd/9TpoxQ3r5ZenUU0/+tYFYys+3DcoeTOMCcSmma9asicdjECYZGYyYwn+2bJEuukhavNjWhl51VWxfv1IlWwbQp4905ZX238G4cZ6eGQiUWn6+1KGDLUsBYow1pvCn9HTpww+lAwdcJwHMxo1SVpa0bp00c2bsS+kP9etnP/yLiuyZK1Z49yygtPLymMaHZyim8KeMDJsyXbLEdRJA+vxzqXdvae9eafZsqUsX75955pn2rNRUG0Fdvtz7ZwInsm2btHKllJnpOglCimIKf+rUSUpOtnfmgEsbNlgp3b/fdtA3bx6/Z9epI02bZh/79JGWLYvfs4GjiS6xopjCIxRT+FPlynYzDutM4dKOHXYe6cGDthnp9NPjn6F2bWnqVKl+falvXyvKgCtz5tjXYpMmrpMgpCim8K+MDEZM4c6BA3bg/dat0vvvS02bustSq5Y0aZLdjDZokLRrl7ssSGxz5thoKQfrwyMUU/hXerrdMx692hGIl+JiaehQadYsu4XszDNdJ7KrTceNswP8s7NtFBeIpwMH7GB9pvHhIYop/IuD9uHKY4/ZAfrPPGMH4PtF27bSmDF2IP9dd7lOg0Tz0Ue2KZViCg9RTOFfTZpI9eoxnY/4mjVL+u1v7ZD7n//cdZof69dPevxx6YknrKQC8TJnjlSxom1OBTxCMYV/RSL2znzOHNdJkCi2bbNp8rPPlv70J9dpju2226QrrpBuusmm9oF4mDPHbnuqWNF1EoQYxRT+lplpa5o4aB9eKy6WrrvOzip95RW7ctGvIhFp1CjbFPWzn9lRVoDXohufAA9RTOFvmZm2pmnRItdJEHbDh0vvvSc9/7zUsKHrNCeWkiK9+qr9t/E//+M6DcJuwwb7h2IKj1FM4W9paTZtxHQ+vLRsmZW7O++ULrjAdZqS69pVeuQR6e9/t4P4Aa9E1/pHN6UCHqGYwt8qVrTrH3NzXSdBWB08KF1/vd3o9Je/uE5Ter/+tdSzp603/eYb12kQVnPm2AUT9eq5ToKQo5jC/3r0sGJaXOw6CcJo+HBp/nzp3/+WKlVynab0kpLsaKvNm6V773WdBmHF+lLECcUU/peZKW3aJK1f7zoJwuaTT6T77pOGDbMLHYLqjDOkP/9Z+sc/mF1A7O3ZIy1cSDFFXFBM4X/Rb4asM0UsFRVJN94oNWrk76OhSurXv7ZyfcMNdrIAECvz59uSF4op4oBiCv+rXduuhGQkCLH03HP2NTV6tFSlius0J69cOZvSX7NG+t//dZ0GYTJnjlStmt08BniMYopg6NGDEVPEzo4ddrvTVVf568rRk9W6tS1LeOghae1a12kQFnPm2Gh8uXKukyABUEwRDJmZdk/zrl2ukyAM7rtP2rcvnCOL990npaZaQQVOVnExG58QVxRTBEOPHrYmcN4810kQdIsWSU89Jd1/v1S/vus0sVetmvTYY9Lbb0sTJ7pOg6D77DO7qpdiijihmCIYWrWSTjmFdaY4OcXF0u2325T3L3/pOo13rrhCOucc+9+4b5/rNAiyOXPsCtzu3V0nQYKgmCIYkpLsHTvrTHEyXn/d3tz84x9ScrLrNN6JRKR//tM2Qo0Y4ToNgmzOHOmss2xgAIgDiimCIzPTrsU7dMh1EgTRvn127eiFF9poYti1aWO3Qf35z9JXX7lOg6BifSnijGKK4MjMlL7+Wlq+3HUSBNFTT0nr1tnd8oni/vulAwdslz5QWjt3SsuWUUwRVxRTBEe3bnZcCetMUVo7d9oh+jfdZCOJiaJePemee76f1gdKY+5cW5dNMUUcUUwRHFWrSh07ss4UpffQQzaV/8ADrpPE329+I9WsKf2//+c6CYJmzhypVi278haIE4opgqVHD0ZMUTrr19tmp7vushHERFO1qvTgg9Irr0gLFrhOgyCZM0fKyLDNdECcUEwRLJmZ0urV0hdfuE6CoPjzn6Xq1a2YJqrrr5datpT+8AfXSRAUhw7ZVD7T+IgziimCpUcP+8h0Pkpi9Wrp2Wel3/3ODp5PVOXL20ao8ePtZAvgRJYssZv2KKaIM4opguW006RGjSimKJkHH7Q1ckOHuk7i3hVXSG3b2pWlwInMni1VqGCbToE4opgieFhnipL4+GPpxRel3/9eqlLFdRr3kpJs89eUKdKMGa7TwO9mzZK6dpUqVXKdBAmGYorgycy0TRx797pOAj974AGpQQPp5ptdJ/GPSy6ROnWyUdPiYtdp4FfFxTZievbZrpMgAVFMETw9etih4fPnu04Cv1q2THrtNTsiiRGf70Uitrxh1izpgw9cp4FfrV0rbdpEMYUTFFMET/v2dgQO60xxLA8/bGuRr7/edRL/ueACqUsXO60AOJrZs+0jG5/gAMUUwVO+vNS9O+tMcXSrV0s5OdLdd9vmDRwuErGR5JkzbeQUONKsWbZRrmZN10mQgCimCKazz7Z39UVFrpPAb/72N9uJf+ONrpP416BBVjz+8hfXSeBHrC+FQxRTBFNWlvTVV9KKFa6TwE82bbJzS4cNkypXdp3Gv5KSpHvvlSZNYq02Drdtm31fpZjCEYopgik9XSpXjqlIHG74cCuknFt6YpdfLp15JqOmOFx0iRTFFI5QTBFM1apJaWkUU3zvq6+kp56SbrtNSklxncb/ypWT/ud/pLfflpYudZ0GfjF7tm0cbNLEdRIkKIopgisri2KK7/3zn7bm+Ne/dp0kOK6+WmrcWHrkEddJ4BesL4VjnhfT3bt364477lDDhg1VuXJlderUSa+99prXj0UiyMqSNmyQ1q1znQSu7dolPfGEHaZfp47rNMGRnGzrcV99Vfr8c9dp4Nq339rlJRRTOOR5Mb300kv1wgsv6P7779fEiRPVtWtXZWdnKycnx+tHI+yi3zwZNcWoUVZO77rLdZLgufFGOxf4H/9wnQSuzZtnl5dQTOGQp8V0/Pjx+uCDD/TUU0/p5ptvVq9evTRq1Cj17dtXd999t4o46gcno1YtqU0bO48RiWv/funvf5euucbWxqF0qleXhgyRnn5a+vpr12ng0uzZtj67bVvXSZDAPC2mb731lqpXr67LL7/8sM9ff/312rRpk+bOnevl45EIWGeKV1+1Y6Luvtt1kuD61a+kPXukZ55xnQQuzZ5tVz4nsf0E7nj61bd06VK1bt1aSUd8kbdr106StGzZMi8fj0SQlSV9/LH05Zeuk8CF4mI7ImrAAKl1a9dpgqtBA+mqq6THH7epXCSeQ4fsmmem8eGYp8V0+/btqnmUK82in9u+fbuXj0ciyMqyj9G7nZFYpk+XFi2S7rzTdZLg+81vbAPU66+7TgIXFi+2ddoUUzjGeD2CrXFj+4fp/MT0979L7dpJ557rOknwtW0r9e8vPfqojUQjscyeLVWoIHXt6joJElx5L188NTX1qKOiX3311Xe/fizDhg1TyhGHZGdnZys7Ozu2IRF8rDNNTJ98Io0bZ1eQRiKu04TDXXdJ550nTZliH5E4Zs+WunSRKlVynQQ+lJOT86PTlAoLCz15lqfFtH379srJyVFRUdFh60yXLFkiSWp7nJ1/w4cPV1pampfxEBY9e9oGmN277UYoJIbHH5fq1pV4sxo755wjdexoo6YU08RRXCzNmCHdcIPrJPCpow0MFhQUqHPnzjF/lqdT+Zdccol2796tsWPHHvb55557Tg0bNlT37t29fDwSRVaWLdzPy3OdBPGyfbv0/PPS7bdLFSu6ThMekYiNmk6axDWlieSTT6QtW6RevVwnAbwtpv3791ffvn01dOhQjR49WtOmTdMtt9yiyZMn629/+5siTL8hFlq1sjNNmc5PHE8/baM8Q4a4ThI+V1xhu/T/+U/XSRAvM2ZI5cpJmZmukwDeb3568803dc011+gPf/iDBgwYoA8//FCvvvoqa0URO5GI7SSlmCaGffusNF17rb0hQWwlJ0tDh0ovvij9dz8AQm7GDKlzZ7tsAXDM82JatWpVPf7449q0aZP27t2rhQsX6oorrvD6sUg0WVlSfr7dAoRwe+016YsvpDvucJ0kvG65xZbH/OtfrpPAa9H1pb17u04CSOK4KIRFVpa0d680f77rJPBScbH0xBN2rBEH6nunTh3bVDZihHTwoOs08NKqVXZzGutL4RMUU4RDp062I3/mTNdJ4KX8fKmgwK7QhLd++Utp/Xrp3XddJ4GXZsywK0g5WB8+QTFFOJQvb6Om06e7TgIvjRghNW8u9evnOkn4de5sm2HYBBVu06fbG/saNVwnASRRTBEmvXvbIdHc9R1OX3whjRkj3XabjfDAe7/6lTRtmvTfs6cRMtH1pUzjw0f47o7w6N1b+uYb1pmG1ahRtmP8+utdJ0kcl17K0VFhtnattGEDxRS+QjFFeKSl2XEn06a5ToJYO3BAGjlSuuYa6ZRTXKdJHMnJ0q23Si+9ZJcaIFxmzLDj9rKyXCcBvkMxRXiwzjS83nxT2rzZpvERX7fcIhUVcXRUGM2YIXXoIJ16quskwHcopgiXPn2k3FzOMw2bESNsqUa7dq6TJJ7ate3oqCeftLNNER6sL4UPlXcdAIip3r2lb7+VPvxQ6tHDdRqU0uAePaRt2w7/5L590rp1Uv36Uo8eeic31024BDZ4wQI7OqpJE6lq1R//hlq1+HsJmvXrpTVrKKbwHYopwqVjRzv2ZPp0imkQbdumd1auPPqvbd6swVyZ6Ma+fXpHkjZuPOovD45rGMTEjBn2kfWl8Bmm8hEu5ctLPXuyzhQAjmfGDKltW6lWLddJgMNQTBE+vXvbOtN9+1wnAQB/mjHDvlcCPkMxRfj07i3t2WPrTAEAh9u0SfrsM9aXwpcopgifjh2llBSm8wHgaKLfG3v2dBoDOBqKKcKnXDn7hstB+wDwY1Om2PrSOnVcJwF+hGKKcOrdW5ozh3WmAPBDxcVWTM8913US4Kg4Lgrh1KePtHevNG8ex6EESa1advTQV1/ZeabNm9sI+A9+HQ5E/14kKzarV0vVqkl163736wiI1avtXGCKKXyKYopwat/e7lSfNkLt4FMAACAASURBVI1iGiDv5Oba7ULNm0sXXig9+6zrSJB+fHj+/fdLjz5qGwxr1HCSCWU0ZYq92WPjE3yKqXyEU3SdKRuggmfyZBvRGTLEdRIcy80324zEiy+6ToLSmjJF6tqVNxTwLYopwqtPH1tnumeP6yQojZEj7WSFbt1cJ8GxNGwoXXSR9NRTNrWPYCgqkqZOlc47z3US4Jgopgivc8+1zU/c4R0cGzZI48bZaGkk4joNjmfoUGnZMmnWLNdJUFKLF9vabdaXwscopgivtm1tc8YHH7hOgpIaPVqqUkW68krXSXAi55wjtWhho6YIhilTpMqVpYwM10mAY6KYIrwiEZuyev9910lQEgcOSM88I119tVS9uus0OJGkJBvZfuMNacsW12lQElOmSGefLVWs6DoJcEwUU4Rb377SwoU2fQV/GzdO2ryZTU9B8vOf20ZDTk/wv/37pZkzmcaH71FMEW7nnWebM6ZOdZ0EJzJypJSeLnXo4DoJSqpmTemnP5Wefto21sC/5s2TvvmGYgrfo5gi3Bo2lFq3Zjrf71atsmOiGC0NniFDpLVr7e8P/jVlip3t3KmT6yTAcVFMEX59+1ox5Vgb/xo1yn5oXnGF6yQore7dbZSbTVD+NmWKHaH3w5vUAB+imCL8+va1A9tXrXKdBEezb5/0739L111nO4YRLJGIHR01bpwd9wX/+eYbKT+faXwEAsUU4derl1S+PNP5fvXmm7Y57Re/cJ0EZXXllXbM1+jRrpPgaGbNslMvKKYIAIopwq96ddtUQzH1p5Ej7c1Dq1auk6Csqle3Y76eecYKEPxlyhSpQQOpZUvXSYATopgiMZx3nu3MP3TIdRL80PLldoQNm56Cb8gQO+5r3DjXSXCkDz6w0VJuU0MAUEyRGPr2lQoLpfnzXSfBDz39tFS7tnTJJa6T4GR16GAzEyNHuk6CH/ryS+mjj+zNORAAFFMkhm7dbLqR60n949tvpeefl264gZtowmLIEDs2io2G/hE9keT8810nAUqEYorEUL68HZXCOlP/eO01G8W+5RbXSRArV1whnXqqjYTDHyZOtNHsevVcJwFKhGKKxNG3rzRnjrR7t+skkGzKt18/6fTTXSdBrFSubMd+/fvfdgwY3CoqshHsfv1cJwFKjGKKxNG3r+0YnjXLdRIsXGhXJLLpKXx+8Qtp+3bpjTdcJ8HixdKWLRRTBArFFImjRQvptNOYzveDp5+242suvNB1EsRay5a2bIZNUO5NmiRVrSr16OE6CVBiFFMkjkjERg4mTnSdJLHt2iW9/LJ088229hfhM2SIzUwsW+Y6SWKbONHeJLC5EAFCMUViGTBAWrFCWrvWdZLE9dJLtiP/pptcJ4FXLr5YqluXTVAu7d4t5eYyjY/AoZgisZx3no3STZjgOkliKi6WnnpKGjTIllUgnCpUkG680Y4D++Yb12kS07RptqaeYoqA8bSY7t69W/fcc4/OP/981a5dW0lJSXrggQe8fCRwfCkpUmYmxdSVvDxpyRJp6FDXSeC1m2+2ZRuvvuo6SWKaNElq1kw64wzXSYBS8bSYbtu2Tc8884wOHDigS/57s0uEK9Hg2sCBdnc0x9nE38iR9sOyb1/XSeC1pk1t6QyboNyYOFHq359rSBE4nhbTpk2baseOHZo2bZoefvhhLx8FlNyAAbbGceZM10kSy/bt0uuv23FCSawiSghDhtg1wFwFHF+ffWa3bzGNjwCK20+H4uLieD0KOL527aSGDZnOj7fnnrMDv2+4wXUSxMvAgVKjRmyCirf33rN1vuee6zoJUGoMWyDxRCI2akoxjZ+iIisnl10m1a7tOg3ipVw5W2v6yit2/SziY9w4qXdvqVo110mAUqOYIjENGCB9/LG0Zo3rJIlh2jTp00/Z9JSIbrrJ1nO/+KLrJIlh1y5pxgwur0BglbiYTp8+XUlJSSX6Z/HixV5mBk4ex0bF11NPSWedJZ19tuskiLf69e1c05Ej7bgweOv99+2YqAsucJ0EKJMSX7vSqlUrjR49ukS/t1GjRmUOBMRFjRpWksaPl2691XWacNu0SXr7benxx9khnKiGDLGTGHJzeXPitffek1q1kk4/3XUSoExKXEzr1aunG+K4aWHYsGFKSUk57HPZ2dnKzs6OWwaE3AUXSPfdZzv0q1RxnSa8/v1vuxLxmmtcJ4Er55xj52mOHEkx9VJRkRVT/ltDjOXk5CgnJ+ewzxV6tG7ctxdVDx8+XGlpaa5jIMwGD5buvlv64AP7vxF7hw5Jo0ZJ2dl2uQESU1KSHRN27702cl6rlutE4VRQIG3ZwjQ+Yu5oA4MFBQXq3LlzzJ/l+eanCRMmaOzYsXr33XclScuWLdPYsWM1duxY7dmzx+vHA8fWooXUsqX0369NeGD8eGnDBjY9QbruOlvK8dxzrpOE13vv2RvAHj1cJwHKzPMR01tvvVXr1q2TZLc+jRkzRmPGjFEkEtGaNWvUuHFjryMAxzZokO0WLiri0HcvjBwpdekiefCuGgFTq5Z0+eV2bNidd/LfmxfGjbND9ZOTXScByszz7wxr1qxRUVGRioqKdOjQocP+b0opnBs82Ka+PvzQdZLwWbPGTj1gtBRRQ4bYrURTprhOEj5ffGE3bDGNj4DjLSsSW0aGlJoqvfOO6yTh88wzdvrBT3/qOgn8IjNTatvWRtIRW+++a6PQAwa4TgKcFIopElv58jbCwDrT2Nq/X/rXv6Rrr5WqVnWdBn4Ridio6X/+Y8eIIXbeekvKyuJmNQQexRQYNEhasoRboGLprbekrVuthAA/dPXVdnzYv/7lOkl4fP21LY+4+GLXSYCTRjEF+vWTKlRg1DSWnnpK6tlTatPGdRL4TUqKdOWVdozYwYOu04TDxIk2S0ExRQhQTIHq1aU+fVhnGitLl9pd3dyohWMZMkT6/HOuBI6Vt9+WOnaUmjZ1nQQ4aRRTQJIuukiaPl3avt11kuAbMcLuR7/0UtdJ4FedO0tdu9rIOk7O/v12fimjpQgJiikgSZdcYmeZMmp6cnbssHNhhwzhLEUc35AhNgXN2u6TM22arTG95BLXSYCYoJgCklSvnt2W8sYbrpME23PPSQcOSLfc4joJ/O6nP7XjxJ5+2nWSYHv7balZM6ldO9dJgJigmAJRl10mvf++VFjoOkkwFRVJTz5pt/vUq+c6DfyualXphhvsvNtvv3WdJpiKiuzorUsusaO4gBCgmAJRl15q67XGjXOdJJgmTJBWrZJ++UvXSRAUt99uyz9eecV1kmCaO1favJn1pQgViikQ1aiR1K0b0/llNWKE1KWL1L276yQIitNPt3OE//EPqbjYdZrgGTPGZicyM10nAWKGYgr80E9+YhsyvvnGdZJgWbnS/r3dfjtTiiidX/3KLriYPt11kmApKrJietllUrlyrtMAMUMxBX7oJz+R9uzhfMXS+r//k2rVsg0tQGmcc4501lk2aoqSy8+3s2CvuMJ1EiCmKKbADzVvbgdVjx3rOklw7N4tPfusdPPNUqVKrtMgaCIRGzV95x2OjiqN116TGjSw00SAEKGYAke67DLbAMVO4ZJ54QUrp0OHuk6CoLrqKruq9MknXScJhug0/uWXS0n8GEe48BUNHOmnP7U1puzOP7GiIunxx+1Eg0aNXKdBUFWtKt10kzR6tL3JwfHNnm278ZnGRwhRTIEjnXGG7c7nCJsTGzdO+vRT6Te/cZ0EQXfbbdKuXXZzGI7v9dftjWB6uuskQMxRTIGjufJKafx4O2MRx/bYY3ZUDT8gcbL+f3t3Hh1ldf9x/DNJRIEAhQCyCVgtgiyynEKECgoKFNQacWmQzYggiwv4ExcMi8hiQRGEQxEKKRIQY6VSVhFBlIpIIgURFLeitiwhGg3FJcnz++MeqCkRZpJ5nvvMzPt1zhzgyczcb865c/nOfe793kaNTD1OSkedWVGRWQPPbXxEKXo1UJpbbjH/AVDT9Oft3Clt3SqNHm07EkSLe++V9u+XNmywHYl/bd0qHT7MbXxELRJToDR160pXXcXt/DN56ilzRjenziBcrrjCHNIwfbrtSPwrM9N87tq3tx0J4IoE2wEAfnF9p05Sbu5/L+Tnm5mJiy6SEhKkmjW1ats2ewH6yeefm3VuTz1FcW+ETyAgPfCA2YCYnS21a2c7It+4vlMn6ehR6aOPpOrVpaZNSz6B8QlRgsQUOCk3V6s+/PD06598Ikm63uNwfG32bCkxUUpLsx0Jos2NN5oZwenTpeeftx2Nf+TmatWBA+bveXnm8ROMT4gW3MoHEJpvvpGefVYaOtQkp0A4JSSYKg9ZWRTcB2IQiSmA0CxaZA4fuPtu25EgWt1+u7ldPXOm7Uj8o7DQdgSAJ0hMAQSvsFCaNcusAWzQwHY0iFaVKpm6pn/6k3TsmO1o/OHbb21HAHiCxBQIFrUVze3Vzz6joD7cN3KkOVls3jzbkfhDfr7tCABPkJgCwTp+3HYEdjmONHWq1LOn1KaN7WgQ7WrVkgYNkp55RvruO9vR2LV7t/TDD7ajADxBYgoEK9ZnLNaskfbskR5+2HYkiBWjR5sSSUuW2I7Erj//mVOeEDMoFwWcVLPmz5dc+fpr6cgR6dAhqU4dL6PyB8eRJk+WOnUyRdABL/zqV1JKiikdlZZmduzHmu++kzIypDp1dP2ZqmDUrOlZSICbYvBTDpTujMWpv/rKnAb13HOmAHisef11aft2M2saCNiOBrHkkUfMaVArVki33WY7Gu/95S9SXp5WffCB1KSJ7WgA13FvAAhG9eqm8PeiRbG5CWrqVOmyy6Tf/tZ2JIg17dpJvXqZGfviYtvReG/+fHM8MkkpYgSJKRCstDRp/37pjTdsR+Ktd96RXnnFrC1lthQ2pKdL+/aZ2cNY8v77ZrwZOtR2JIBnSEyBYHXtamYt5s61HYm3JkyQLrlEuukm25EgViUnS1dfLT3+eGzNmj77rKlOkJJiOxLAMySmQLDi4kxtxZdekr780nY03nj7bWntWmn8eCk+3nY0iGXp6aZs0t/+ZjsSb5w4YXbjDxokVahgOxrAMySmQCgGDpTOO8/MZMSCCROkZs2kW26xHQliXefOUpcu0qRJsbHOOyvLVAMZMsR2JICnSEyBUFStKg0YYDYkRHvB67fektavZ7YU/jFhgpSdLf31r7YjcZfjmIMFrr5auvhi29EAniIxBUI1YoR0+HD0b8SYMEFq3ly6+WbbkQDGlVeaZC09XSoqsh2Ne958U9q50xwwAMQYElMgVJdeKnXrZmY0otW2bWYn/vjxnDgDf5k8Wdq7V1q+3HYk7nnySTPO9OxpOxLAc/yPA5TFyJHmVvfOnbYjCT/HkR580NQt7dPHdjRASe3bSzfcYL40ReNymgMHpFWrpFGjKM+GmERiCpTFddeZtV9PPGE7kvBbtcrMmP7hD8yWwp8mTZI+/dQceBFtZs0yx4v262c7EsAK/tcByiI+Xhozxqwz3b/fdjThU1goPfSQWcfXvbvtaIDStWgh9e1rEtTjx21HEz55edLixWYd+3nn2Y4GsMLVxHTTpk0aOHCgmjRposqVK6tBgwa64YYblJOT42azgDcGDJDq1jUzi9Fi8WKTaEfjTDCiy6RJUm6uNGOG7UjCZ/58s6lr2DDbkQDWuJqYzp8/XwcPHtSoUaO0bt06zZo1S0eOHFFycrI2b97sZtOA+8491+yafe456fPPbUdTfsePm3V7fftKbdvajgY4swsvlO67z3wxjIYDL44fl2bONLWSa9e2HQ1gjauJ6Zw5c7R582YNGzZMnTt3Vp8+fbRx40YlJSVpypQpbjYNeGPIEKlKFbOLNtLNmGFmoB5/3HYkQHAeeUSqXNn8GenmzjUF9aPhdwHKwdXEtHYp3/oqV66sZs2a6YsvvnCzacAbVapI99xjToI6etR2NGX32WfStGlmBvjCC21HAwSnWjXpscekJUsiu0LGt9+amd877pAaNbIdDWCV55uf8vPzlZOTo+bNm3vdNOCOu+82m6Eiea3p/fdLNWpIjz5qOxIgNIMHm4MgRo2K3KNK58wxySmzpYD3iemIESN04sQJjR071uumAXckJUn/93+m4P7Bg7ajCd0rr0gvvWRu5Scm2o4GCE1Cglmb+eabUmam7WhC98035rM3eLB0wQW2owGsCzox3bJli+Li4oJ67N69u9T3SE9P17JlyzRz5ky1adMmbL8EYN3995vbiuPG2Y4kND/8YJYidO4s/f73tqMByuaaa6RbbzVLUfLybEcTmmeekQoKpIcfth0J4AsJwT6xadOmWrhwYVDPvaCUb30TJ07U5MmTNWXKFA0fPvys7zFq1ChVq1atxLXU1FSlpqYGFzDgpcREs6N95EiTpLZsaTui4Dz1lPTRR9ILL3DKDCLbzJlSs2bm1LIFC2xHE5zDh80SoKFDpQYNbEcD/Kzly5dr+f8cA5yfn+9KWwHHcX9RzsSJE0890tPTz/jcnJwctWvXTtnZ2WpLyRpEkh9/NOdbX3KJtHq17WjO7oMPzLGjI0ZER1UBYN48afhwaetW6YorbEdzdoMHm2U0Bw6YJUFABHErX3N9jemkSZNOJaRnS0qBiHbOOdLkydKaNdKWLbajObOiIiktzaxpmzTJdjRAeAwdKnXoIN11l1mm4mfZ2eZI1cceIykFfiLoW/ll8eSTT2r8+PHq2bOnevXqpe3bt5f4eXJyspvNA9676SYpOdnMQr77rlShgu2ISvfMM9Jbb0mvvy5VqmQ7GiA84uJM6bZ27czSmqlTbUdUOseR7r3X3GG56y7b0QC+4mpiunr1agUCAa1fv17r168v8bNAIKCioiI3mwe8FxdnjhVs186sHfNj+aWPPzZlaUaOjIzbnUAoWrUys5Bjx0q9evmzjz//vLRtm/Tqq6aqAIBTXL2Vv3nzZhUVFam4uPi0B0kpolarVmYD1OOPSx9+aDuakn78URowQDr/fInT1xCtxoyROnWS+veXXNqgUWb5+aa83A03SN262Y4G8B3P65gCMWHcOKlePXObzk9Fv8eOlXbskJYto2Ypold8vPTcc6Z01D332I6mpAceMMX0Z82yHQngSySmgBsqVZL++Edp82YpI8N2NMbq1dL06ebo0csvtx0N4K7Gjc2JSkuWmCTVDzZuNKWspk+XGja0HQ3gSySmgFu6d5cGDjQzNh9/bDeWgwdNLNddZ4qQA7Ggf3/T7++8U9q5024subkmlm7dTDwASkViCrhp9mypdm2pb1975WuOHzfVAhITzewthfQRKwIBc+fissuklBTp0CE7cTiOdMcdZgxYssRskgRQKj4dgJuqVjXrOd99185MZWGhOWr0/fellSulGjW8jwGw6bzzTN8vLDRf0Gx8QXziCWnVKlO3tF4979sHIgiJKeC2Dh3MzOncudLixd616zimJNS6ddKLL0qcpIZYVa+eOWHpnXekfv1MkuqVDRvMpsNHH5Wuv967doEIRWIKeGHoULOubMgQswHCC1OmmJqq8+dLPXt60ybgV5dfbuqHvvSSdPvt5vQzt737rpml7dVLmjDB/faAKEBiCnghEDAzptdcI914oynZ5KZp08wMzYQJZm0bALPONDPTLK8ZOlQqLnavrQ8/NAlps2YmIY6Pd68tIIqQmAJeOecc6YUXTAH+a66R/ueI3rAoLpYeekh6+GFzJOO4ceFvA4hkt95qNgEuWiSlpbmz5vSDD6Qrr5SqVzdl2ipXDn8bQJQiMQW8lJgorV9vktNu3cyGiHApKJBSU81RqE8+aWZL2YEPnK5/f2npUjNz2quXKeUULm++aU6dql7d1DGuXTt87w3EABJTwGtVqpgNET17mmMJJ0wo/2aMPXuk9u2lNWukrCxqlQJn07evWe/9j39IbdpIb7xRvvdzHLNcp1s3qUUL837nnx+eWIEYQmIK2FCpkkkgx4+XJk2SunSRdu8O/X0KCsxa0rZtzRq2d96R+vQJf7xANOrSxWxQatxY6txZGjFCOnYs9Pf55BPp2mtNFYw77zRfPCnNBpQJiSlgS1ycSUy3bDFnerdta06G2bPn7K89etTURrzoInO84SOPmJNtmjVzPWwgqjRoYD6Ds2aZ4ve//KWUni598cXZX/vxxyYZvfRS87l9+WVzDOq557oeNhCtEmwHAMS8K64wtxPnzZNmzDD/ObZoYTZItWkj1aljkti8PGnfPun1181twrg4U5MxPV1q1Mj2bwFErvh4c3Rwaqo0dar09NOm3FpysnTVVVLz5lLNmmbN9tGj5vO6ebOprlGzpqlTOno0m5yAMAg4juPYDuKncnJy1K5dO2VnZ6stBcERa3744b8F8bdtkz79tOTPk5LMWtLevc2JTklJduIEotm335qlNqtXS2+9dfpRpvXrm7qoffqYovmVKtmJE7DIrXyNGVPATypUkH73O/OQzBrSo0fN36tWNevW2GkPuKtKFVNKKi3N/Pvrr82juNjMkFatajc+IIqRmAJ+lphoHgDs+cUvzAOA69j8BAAAAF8gMQUAAIAvkJgCAADAF0hMAQAA4AskpgAAAPAFElMAAAD4AokpAAAAfIHEFAAAAL5AYgoAAABfIDEFAACAL5CYAgAAwBdITAEAAOALJKYAAADwBRJTAAAA+AKJKQAAAHyBxBQAAAC+QGIKAAAAXyAxBQAAgC+QmAIAAMAXSEwBAADgCySmAAAA8AUSUwAAAPgCiSkAAAB8wdXEdNeuXerdu7caNWqkSpUqKSkpSR07dlRmZqabzQIAACACuZqY5ufnq2HDhpo6darWrVunJUuWqHHjxurfv78mT57sZtNAUJYvX247BMQI+hq8Ql9DJHM1Me3SpYvmzZunvn37qkuXLurdu7eWLVumDh066Nlnn3WzaSAoDODwCn0NXqGvIZJZWWOalJSkhIQEG00DAADApzzJDh3HUVFRkb766itlZWVpw4YNmj17thdNAwAAIEJ4kpgOGzbs1K37+Ph4zZgxQ8OGDfOiaQAAAESIoBPTLVu2qGvXrkE9d9euXWrVqtWpf48dO1ZDhgzRkSNHtGrVKo0ePVrfffedHnzwwdNee+LECUnSvn37gg0NKLP8/Hzl5OTYDgMxgL4Gr9DX4IWTedrJvC1cAo7jOME88dChQ1q7dm1Qb5qSkqLq1av/7M+HDx+uhQsX6ssvv1StWrVK/CwzM1P9+vULqh0AAADYs3TpUt12221he7+gE9NwWrx4se644w5t375d7du3L/Gz3NxcbdiwQY0bN1bFihW9Dg0AAABnceLECX322Wfq0aOHatasGbb3tZKYDhgwQMuXL9ehQ4eUlJTkdfMAAADwIVc3Pw0ZMkTVqlXTr3/9a51//vnKzc1VVlaWXnjhBY0ZM4akFAAAAKe4OmOakZGhxYsXa9++ffr666+VmJio1q1ba/Dgwerbt69bzQIAACACWbmVDwAAAPwvKyc/nVRQUKAxY8aoe/fuqlWrluLi4jRx4sSQ3uPIkSMaNGiQatWqpcqVK6tjx4567bXXXIoYkaygoED33Xef6tevr4oVK6pNmzZasWJFUK/NyMhQXFxcqY8jR464HDn8qjx9irELoShrX2PsQijKm5eFY1yzei5obm6uFixYoNatWyslJUULFy5UIBAI+vXff/+9unXrpm+++UazZ89W7dq1NWfOHPXs2VOvvvqqOnfu7GL0iDQ33nijdu7cqSeeeEJNmjRRZmamUlNTVVxcrNTU1KDeIyMjQ02bNi1xrUaNGm6EiwhQ1j7F2IVQlXf8YuxCMMqTl4VtXHN8Ijc31wkEAs7EiRODfs3cuXOdQCDgbN++/dS1wsJCp3nz5k6HDh3cCBMRas2aNU4gEHCef/75Ete7d+/u1K9f3ykqKjrj6xcvXuwEAgEnOzvbzTARQcrTpxi7EIry9DXGLpRVqHlZuMY1q7fyf8opw1LXlStXqmnTpurQocOpa/Hx8erXr5927Nihf//73+EMERFs5cqVqlKlim6++eYS12+//Xb961//0ttvvx3U+5SlnyI6ladPMXYhFOEYvxi7EKpQ+0y4xjXfJKZl8d5775U4+vSkli1bSpL27t3rdUjwqffee0/NmjVTXFzJLh9qX7n22muVkJCgpKQk9enThz4Ww8rTpxi7EIpwjF+MXXBbuMY1q2tMyysvL6/UNTInrx07dszrkOBTx44d08UXX3za9WD7St26dfXoo48qOTlZVatW1e7duzVt2jQlJyfr73//+6kPHmJHefoUYxdCUZ6+xtgFr4RrXAtbYrplyxZ17do1qOfu2rWr1KwaCIaNvtajRw/16NHj1L9/85vfqHfv3mrZsqXGjRunlStXlrsNAAg3xi5EmrAlpk2bNtXChQuDeu4FF1wQljaTkpKUl5d32vWT1zhZKjqF0tcaNmwoyfSF0r6tlaevNGrUSJ06ddL27dtDfi0iX3n6FGMXQhHu8YuxC24I17gWtsS0Tp06SktLC9fbBaVly5bavXv3adf37NkjSWrRooWn8cAbZelrrVq10vLly1VcXFxinVY4+kooJc4QPcrTpxi7EAq3xi/GLoRTuMa1iN78lJKSov3792vHjh2nrhUWFmrp0qVKTk5WnTp1LEYHP0lJSVFBQYFefPHFEtczMjJUv379ErsIg/XJJ5/ojTfe0OWXXx6uMBFBytOnGLsQinCPX4xdcEPYxrWQilq5YO3atU5WVpazaNEiJxAIOLfccouTlZXlZGVlOf/5z39OPS8tLc1JSEhwDh48eOra999/77Ro0cJp2LChs2zZMmfjxo1OSkqKU6FCBWfr1q02fh34WPfu3Z0aNWo4CxYscF577TXnzjvvdAKBgLNs2bISzyutr1199dXOlClTnJdfftnZtGmT8/TTTzv16tVzqlWr5uzdu9frXwU+EUyfYuxCOJS1rzF2IVTB5GVujmvWRZt2WwAAAPVJREFUE9PGjRs7gUDACQQCTlxcXIm///Of/zz1vEGDBp12zXEc5/Dhw87AgQOdpKQkp2LFik7Hjh2dTZs2ef1rIAIUFBQ49957r1O3bl3n3HPPdVq3bu2sWLHitOeV1tdGjRrlNG/e3KlatapzzjnnOPXr13cGDBjgHDhwwMtfAT4TTJ9i7EI4lLWvMXYhVMHkZW6OawHHoeouAAAA7IvoNaYAAACIHiSmAAAA8AUSUwAAAPgCiSkAAAB8gcQUAAAAvkBiCgAAAF8gMQUAAIAvkJgCAADAF0hMAQAA4AskpgAAAPAFElMAAAD4AokpAAAAfOH/AYsBeuq9eGM8AAAAAElFTkSuQmCC",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f68c8e090>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = linspace(-1,1, 401)\n",
    "Q = 10\n",
    "z = zglj(Q)\n",
    "u = z .* cos(2pi*z)\n",
    "Dmat = dglj(z)\n",
    "du = Dmat * u\n",
    "du_exact = cos(2pi*x) - 2pi*x .* sin(2pi*x)\n",
    "\n",
    "plot(x, du_exact, \"r\", z, du, \"rs\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## High level interface\n",
    "\n",
    "Using the low level functions `zg*`, `wg*` and `dg*` can be cumbersome and error prone since they all depend on `z`. So a Higher level is useful. A new type is available that stores all information: `Quadrature`.\n",
    "\n",
    "To create a new `Quadrature` type:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Quadrature{Float64,GLJ}(4,1.0,1.0,[-1.0,-0.377964,0.377964,1.0],[0.0444444,0.622222,0.622222,0.0444444],4x4 Array{Float64,2}:\n",
       " -2.83333    4.25338   -1.92004    0.5     \n",
       " -0.607625  -0.440959   1.32288   -0.274292\n",
       "  0.274292  -1.32288    0.440959   0.607625\n",
       " -0.5        1.92004   -4.25338    2.83333 )"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = Quadrature(GLJ, 4, 1, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Array{Float64,1}:\n",
       " -1.0     \n",
       " -0.377964\n",
       "  0.377964\n",
       "  1.0     "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qzeros(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4-element Array{Float64,1}:\n",
       " 0.0444444\n",
       " 0.622222 \n",
       " 0.622222 \n",
       " 0.0444444"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qweights(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4x4 Array{Float64,2}:\n",
       " -2.83333    4.25338   -1.92004    0.5     \n",
       " -0.607625  -0.440959   1.32288   -0.274292\n",
       "  0.274292  -1.32288    0.440959   0.607625\n",
       " -0.5        1.92004   -4.25338    2.83333 "
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qdiff(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1.0,1.0)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qalpha(q), qbeta(q)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solving a differential equation\n",
    "\n",
    "\n",
    "The differential equation is\n",
    "\n",
    "$$\n",
    "\\frac{d^2u}{dx^2} + u = \\sin 2\\pi x\n",
    "$$\n",
    "\n",
    "To make things simpler, we will use the following Neumann BCs:\n",
    "\n",
    "$$\n",
    "\\left.\\frac{du}{dx}\\right|_{x=-1} = \\left.\\frac{du}{dx}\\right|_{x=1} = 0\n",
    "$$\n",
    "\n",
    "The weak form, for appropriate function spaces is:\n",
    "\n",
    "$$\n",
    "\\int_{-1}^1 \\frac{dv}{dx}\\frac{du}{dx}\\:dx - \\left.v\\frac{du}{dx}\\right|_{-1}^1 - \\int_{-1}^1 uv\\:dx = -\\int_{-1}^1 vf\\:dx\n",
    "$$\n",
    "\n",
    "Using Lagrange interpolation at the nodes of the Gauss-Lobatto-Jacobi quadrature, we can solve this equation:\n",
    "\n",
    "$$\n",
    "u(x) = \\sum_{k=1}^Q u_kh_k(x) \\qquad v(x) = \\sum_{i=1}^Q u_ih_i(x)\n",
    "$$\n",
    "\n",
    "Substituting in the weak form, \n",
    "\n",
    "$$\n",
    "\\left([L] - [M]\\right)\\{u\\} = -[M]\\{f\\}\n",
    "$$\n",
    "\n",
    "where \n",
    "\n",
    "$$\n",
    "M_{ik} = \\int_{-1}^1 h_kh_i\\:dx\n",
    "$$\n",
    "Usando a propria quadratura utilizada para definir os interpoladores $h_i(x)$ para se integrar esta expressão se obtém uma aproximação da integral mas próxima o suficiente se Q for grande. Com isso, esta matriz é diagonal com cada elemento da diagoal igual ao peso da quadratura:\n",
    "$$\n",
    "M_{ik} = w_i\\delta_{ik}\n",
    "$$\n",
    "Ja a outra matrix é um pouco mais complicado:\n",
    "$$\n",
    "L_{ik} = \\int_{-1}^1 \\frac{dh_i}{dx}\\frac{dh_k}{dx}\\:dx = \\sum_{\\alpha=1}^Q w_\\alpha D_{\\alpha i} D_{\\alpha k}\n",
    "$$\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "solve (generic function with 1 method)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "function solve(Q, fun, x)\n",
    "    z = zglj(Q)\n",
    "    w = wglj(z)\n",
    "    D = dglj(z)\n",
    "    imat = interp_mat(x, z)\n",
    "    f = fun(z)\n",
    "    \n",
    "    L = zeros(Q,Q)\n",
    "    for i=1:Q, k=1:Q\n",
    "        ll = 0.0\n",
    "        for a = 1:Q\n",
    "            ll = ll + w[a] * D[a,i] * D[a, k]\n",
    "        end\n",
    "        L[k,i] = ll\n",
    "    end\n",
    "    \n",
    "    fr = zeros(Q)\n",
    "    \n",
    "    for i = 1:Q\n",
    "        L[i,i] = L[i,i] - w[i]\n",
    "        fr[i] = - f[i]*w[i]\n",
    "    end\n",
    "    \n",
    "    u = L\\fr\n",
    "    ue = imat * u\n",
    "    return ue\n",
    "end\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f7c13d5d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q = 3:20\n",
    "nq = length(Q)\n",
    "x = linspace(-1, 1, 101)\n",
    "np = length(x)\n",
    "u = zeros(np, nq)\n",
    "for i = 1:nq\n",
    "    u[:,i] = solve(Q[i], x->sin(2pi*x), x)\n",
    "end\n",
    "\n",
    "for i = 1:(nq-1)\n",
    "    plot(x, u[:,i])\n",
    "end\n",
    "plot(x, u[:,nq], \"--\", linewidth=4, color=\"black\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Figure(PyObject <matplotlib.figure.Figure object at 0x7f9f68b19fd0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Cálculo do erro:\n",
    "ue = u[:,nq]\n",
    "\n",
    "uerr = zeros(nq-1)\n",
    "\n",
    "for i = 1:(nq-1)\n",
    "    uerr[i] = maxabs(u[:,i] - ue)\n",
    "end\n",
    "\n",
    "plot(log10(Q[1:(nq-1)]), log10(uerr), \"rs\")\n",
    "xlabel(\"log(Q)\")\n",
    "ylabel(\"log(error)\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.3.7",
   "language": "julia",
   "name": "julia 0.3"
  },
  "language_info": {
   "name": "julia",
   "version": "0.3.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
